Stability Analysis and Design of Uncertain Discrete-time Switched Systems with Actuator Saturation Using Antiwindup and Multiple Lyapunov Functions Approach

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• 作者：Xinquan Zhang ; Jun Zhao and Xiaoyin Li
• 刊名：Asian Journal of Control
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：19
• 期：1
• 页码：325-331
• 全文大小：179K
• ISSN：1934-6093

文摘

The stability analysis and anti-windup design problem is investigated for a class of discrete-time switched systems with saturating actuators by using the multiple Lyapunov functions approach. Firstly, we suppose that a set of linear dynamic output controllers have been designed to stabilize the switched system without input saturation. Then, we design anti-windup compensation gains and a switching law in order to enlarge the domain of attraction of the closed-loop system. Finally, the anti-windup compensation gains and the estimation of domain of attraction are presented by solving a convex optimization problem with linear matrix inequality (LMI) constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.